
| Jianhai Bao | William Y.C. Chen |
| Song Dai | Zaihui Gan |
| W.D. Gao | Kathy Q. Ji |
| Jinghai Shao | Ruipeng Shen |
| Xiaotao Sun | Fengyu Wang |
| Hao Tang | Huaming Wu |
| Xun Yu | Yong Zhang |
| Xiang Yu | Chuanming Zong |
| Mingshuo Zhou |
| Xin Chen | Alan J.X. Guo |
| Ling He | Jijian Song |
| Eryan Hu | Xing Huang |
| Hao Kang | Huaiqian Li |
| Yu Pan | Pengfei Tang |
| WenYi Tian | Huaying Wei |
| Song Yang | Fei Zhu |
| Lingxiao Zhang |
| Yixuan Fan | Yunda Hao |
| Guanhua Liu | Guanjin Qu |
| Ze Liu | Jie Cao |
| Meng Wang | Ce Ji |
| Bingjie Wu | Tianhao Wu |
| Rundong Xu | Yu Zhang |
| Cheng Ma | Yi Zhao |
| Peter Paule |
| Albert Y. Liu | Changying Ma |
| Xiaoping Zhong |
• Fractal analysis
• Dirichlet forms and their heat kernel estimates
• 2013.08 - 2017.07, B.S. in Mathematics, Tsinghua University, China.
• 2017.08 - 2022.06, Ph.D in Applied Mathematics, Tsinghua University, China.
• 2022.09 - 2025.08, Postdoc, Bielefeld University.
• 2025.10 - Present, Assistant Professor, Center for Applied Mathematics, Tianjin University.
[1] G. Liu and M. Murugan. Parabolic Harnack inequality implies the existence of jump kernel. Potential Analysis, 57: 155--166, 2022.
[2] J. Hu and G. Liu. Upper estimates of heat kernels for non-local Dirichlet forms on doubling spaces. Forum Mathematicum, 34(1): 225--277, 2022.
[3] G. Liu and M. Murugan. On the comparison between jump processes and subordinated diffusions. ALEA Latin American Journal of Probability and Mathematical Statistics, 20: 1271--1281, 2023.
[4] G. Liu. Existence of self-similar Dirichlet forms on post-critically finite fractals in terms of their resistances. Manuscripta Mathematica, 174: 597--647, 2024.
[5] G. Liu. Heat kernel estimates on local and non-local Dirichlet spaces satisfying a weak chain condition. Journal of Mathematical Analysis and Applications, 539: 128477, 2024.
Center for Applied Mathematics, Tianjin University, No.92 Weijin Road, Tianjin 300072, P. R. China